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# Category Archives: abc Conjecture

## Various and Sundry

Last week a review of the Mochizuki IUT papers appeared at Math Reviews, written by Mohamed Saïdi. His discussion of the critical part of the proof is limited to: Theorem 3.11 in Part III is somehow reinterpreted in Corollary 3.12 … Continue reading

Posted in abc Conjecture, Uncategorized
24 Comments

## ABC on NHK

There will be a documentary broadcast tomorrow in Japan on Mochizuki’s claimed proof of the abc conjecture. I was interviewed for this by the filmmakers last year, but don’t know anything about whether and how that footage will be used. … Continue reading

Posted in abc Conjecture
16 Comments

## Back

I haven’t been posting here for a while, partly due to a lot of traveling, partly due to some personal time-consuming commitments, and largely due to a lack of much in the way of news that seemed worth much attention. … Continue reading

Posted in abc Conjecture, Uncategorized
11 Comments

## Some Math Items

Some math items that may be of interest: Zentralblatt Math has a review of Mochizuki’s IUT papers, by Peter Scholze. Scholze explains the problem with the proof claimed in these papers. For more details, see his manuscript with Stix, or … Continue reading

Posted in abc Conjecture, Uncategorized
8 Comments

## ABC is Still a Conjecture

Just a reminder that the abc conjecture is still a conjecture, there is no known valid proof (don’t believe what you might read in an EMS journal). For more about why one attempted proof doesn’t work, see here and here. … Continue reading

Posted in abc Conjecture
78 Comments

## Why the Szpiro Conjecture is Still a Conjecture

There has been a remarkable discussion going on for the past couple weeks in the comment section of this blog posting, which gives a very clear picture of the problems with Mochizuki’s claimed proof of the Szpiro conjecture. These problems … Continue reading

Posted in abc Conjecture
39 Comments

## Latest on abc

Davide Castelvecchi at Nature has the story this morning of a press conference held earlier today at Kyoto University to announce the publication by Publications of the Research Institute for Mathematical Sciences (RIMS) of Mochizuki’s purported proof of the abc … Continue reading

Posted in abc Conjecture
136 Comments

## Scholze and Stix on the Mochizuki Proof

As discussed here a couple months ago, Peter Scholze and Jakob Stix believe they have found a serious problem with Mochizuki’s claimed proof of the abc conjecture, and traveled to Kyoto in March to discuss it with him. Their write-up … Continue reading

Posted in abc Conjecture
37 Comments

## abc News

[For those not up to speed on this story, see blog posts here and here from last December, as well as comments to those posts.] The last couple months I’ve heard reports from several people claiming that arithmetic geometers Peter … Continue reading

Posted in abc Conjecture
24 Comments

## Latest on abc

I’ve seen reports today (see here and here) that indicate that Mochizui’s IUT papers, which are supposed to contain a proof of the abc conjecture, have been accepted by the journal Publications of the RIMS. Some of the sources for … Continue reading

Posted in abc Conjecture, Favorite Old Posts
62 Comments